Least Common Multiple of 7028 and 7034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7028 and 7034 the smallest integer that is 24717476 that is divisible by both numbers.

Least Common Multiple (LCM) of 7028 and 7034 is 24717476.

LCM(7028,7034) = 24717476

LCM of 7028 and 7034

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7028 and 7034

LCM of 7028 and 7034 is 24717476

Least common multiple can be found by multiplying the highest exponent prime factors of 7028 and 7034. First we will calculate the prime factors of 7028 and 7034.

Prime Factorization of 7028


2 7028
2 3514
7 1757
251 251
1

Prime factors of 7028 are 2, 7,251. Prime factorization of 7028 in exponential form is:

7028 = 22×71×2511

Prime Factorization of 7034


2 7034
3517 3517
1

Prime factors of 7034 are 2,3517. Prime factorization of 7034 in exponential form is:

7034 = 21×35171

Now multiplying the highest exponent prime factors to calculate the LCM of 7028 and 7034.

LCM(7028,7034) = 22×71×2511×35171
LCM(7028,7034) = 24717476

Factors of 7028

List of positive integer factors of 7028 that divides 7028 without a remainder.

1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028

Factors of 7034

List of positive integer factors of 7034 that divides 7034 without a remainder.

1, 2, 3517, 7034

Least Common Multiple of 7028 and 7034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7028 and 7034, than apply into the LCM equation.

GCF(7028,7034) = 2
LCM(7028,7034) = ( 7028 × 7034) / 2
LCM(7028,7034) = 49434952 / 2
LCM(7028,7034) = 24717476

Properties of LCM 7028 and 7034

(i) The LCM of 7034 and 7028 is associative

LCM of 7028 and 7034 = LCM of 7034 and 7028

Related Least Common Multiples of 7028

Related Least Common Multiples of 7034

Frequently Asked Questions on LCM of 7028 and 7034

1. What is the LCM of 7028 and 7034?

Answer: LCM of 7028 and 7034 is 24717476.

2. What are the Factors of 7028?

Answer: Factors of 7028 are 1, 2, 4, 7, 14, 28, 251, 502, 1004, 1757, 3514, 7028. There are 12 integers that are factors of 7028. The greatest factor of 7028 is 7028.

3. What are the Factors of 7034?

Answer: Factors of 7034 are 1, 2, 3517, 7034. There are 4 integers that are factors of 7034. The greatest factor of 7034 is 7034.

4. How to Find the LCM of 7028 and 7034?

Answer:

Least Common Multiple of 7028 and 7034 = 24717476

Step 1: Find the prime factorization of 7028

7028 = 2 x 2 x 7 x 251

Step 2: Find the prime factorization of 7034

7034 = 2 x 3517

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 24717476 = 2 x 2 x 7 x 251 x 3517

Step 4: Therefore, the least common multiple of 7028 and 7034 is 24717476.